442080 has 72 divisors (see below), whose sum is σ = 1513512. Its totient is φ = 117504.

The previous prime is 442069. The next prime is 442097. The reversal of 442080 is 80244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

442080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2⁴⁴²⁰⁸⁰ is an apocalyptic number.

442080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756).

442080 is an abundant number, since it is smaller than the sum of its proper divisors (1071432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442080 is a wasteful number, since it uses less digits than its factorization.

442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442080 is about 664.8909685054. The cubic root of 442080 is about 76.1787114771.

The spelling of 442080 in words is "four hundred forty-two thousand, eighty".